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Nana76 [90]
3 years ago
13

A delivery route must include stops at three cities. If the route is randomly selected, find the probability that the cities wil

l be arranged in alphabetical order. Round your answer to five decimal places.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

⅙

Step-by-step explanation:

1/3! = 1/6 or 0.1667

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Answer:

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Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I=Prt

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time </em>

The first step is to change 3% into a decimal:

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Now, lets plug in the values into the equation:

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3 years ago
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
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Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:

\displaystyle 5 k = 4

Solve for the scale factor <em>k: </em>

<em />\displaystyle k = \frac{4}{5}<em />

<em />

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2

In conclusion, the area of ΔEDF is 9.6 square inches.

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Step-by-step explanation:

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Step-by-step explanation:

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